6 problems

Let $\mathcal D(W)$ be the algebra of differential operators associated with the weight matrix $W$, and let $I$, $L_1$, and $L_3$ be the operators used in the paper. Full-algebra g…

Let $\mathcal D(W)$ be the algebra of differential operators associated with the weight matrix $W$, and let $I$, $L_1$, $L_2$, and $L_3$ be the operators used in the paper. Conside…

Let $W_{\alpha,a}$ be the $N=2$ matrix-valued weight, with $\alpha>-1$, and let $\mathcal D(W_{\alpha,a})$ be the algebra of differential operators having the associated orthogonal…

Let $W_{\alpha,\nu_1,\ldots,\nu_{N-1}}$ be the family of weight matrices considered in the paper, with $N$ the size parameter, and let a differential operator be symmetric when it…

Darboux-reducibility conjecture. $W$ is not a Darboux transformation of a direct sum of classical weights, but it is Darboux-reducible.

Let $k_0,k_1$ satisfy $-\frac{1}{2}<7 k_07 k_1<\frac{1}{2}$, so that the coefficients defining the matrix weight are positive, and let $c$ be the normalization constant in the matr…